Weibull-Gamma composite distribution: An alternative multipath/shadowing fading model
|
|
- Gwendolyn Lawrence
- 5 years ago
- Views:
Transcription
1 Weibull-Gamma composite distribution: An alternative multipath/shadowing fading model Petros S. Bithas Institute for Space Applications and Remote Sensing, National Observatory of Athens, Metaxa & Vas. Pavlou Street, Palea Penteli, 1536 Athens, Greece ( Estimation of length: Units Column cm Title 80 chars 1 Affiliations 1 1 Abstract 530 chars 3 Text 6790 chars 35 References 8 8 Figures 17 Captions Equations Total: 81 June 13, 009
2 Weibull-Gamma composite distribution: An alternative multipath/shadowing fading model P.S. Bithas, N.C. Sagias and P.T. Mathiopoulos The Weibull-Gamma (WG) distribution, which is appropriate for modelling fading environments when multipath is superimposed on shadowing, is introduced and studied. For this composite distribution the probability density, cumulative distribution, characteristic functions and the moments are derived in closed form. Furthermore, the average bit error and outage probabilities of a receiver operating over WG fading channels are assessed and compared with the corresponding performances obtained using other composite distributions. Introduction: In many real life propagation links, multipath fading and shadowing occur simultaneously, yielding a composite fading environment [1]. Depending upon the nature of the radio propagation environment, several distributions have been proposed for modelling multipath fading, including Rayleigh, Nakagami and Weibull [1-], while shadowing is modelled by the lognormal distribution [1]. Based on these distributions various combinations have been suggested for obtaining the composite environment, including the widely accepted Rayleigh- and Nakagami-lognormal [1] and a relatively new one, the Weibull-lognormal (WL) [3]. A common characteristic of these lognormal-based composite distributions is their complicate mathematical form that limits their potential applications. An alternative approach is to employ the mathematical more convenient Gamma distribution for accurately modeling the shadowing effects [4]. Hence, using Gamma distribution simpler composite distributions have been proposed, such as the K [4] and the generalized-k [5]. Furthermore, in a recent work [6], the probability density function (PDF) of the 1
3 Weibull-Gamma (WG) fading model was presented in terms of the generalized hypergeometric function [6, Equation (5)]. However, to the best of the author s knowledge, a thorough analysis of the WG statistical characteristics is not available in the open technical literature and thus is the subject of the current work. Therefore, in this letter by deriving an alternative to [6, Equation (5)] representation for the PDF, the cumulative distribution function (CDF), the characteristic function (CF) and the moments of the WG composite distribution are presented. Capitalizing on these results the performance of a single receiver operating over such fading/shadowing channels is analyzed. Weibull-Gamma statistical characteristics: Let R representing the channel fading envelope following the Weibull distribution with PDF given by [1] ( ) ( β ) β/ β/ Γ 1+ / = exp Γ 1 +, 0 y β β 1 β/ fr x β x x y x (1) where β is distribution s shaping parameter, y is the average fading power y E R =, with E denoting expectation, and Γ( ) is the Gamma function [7, Equation (8.310/1)]. When multipath fading is superimposed on shadowing, y slow varies and hence it can be considered as a random variable following the Gamma distribution with PDF given by ( y Ω) α y ( ) 1 f exp / y y =, y 0 α Γ( α) Ω () where α > 0 is the shaping parameter and Ω= E y. Under these circumstances the PDF in (1) is conditioned on y, and in order to remove this conditioning (1) is averaged over () as
4 f ( x) = f ( x y) f ( y) dy. (3) R y y 0 Using the Meijer-G representation for the exponentials [8, Equation (11)], [7, Equation (9.31/)], [8, Equation (1)], and after some mathematical manipulations the PDF of the WG composite distribution can be expressed in closed form as f ( x) + β + 1 β 1 1/ + β / α βx Γ ( 1+ / β ),0 x Γ ( 1+ / β ) G = Γ ( α) 1 0, + Ω b Ω + ( π ) (4) where () G is the Meijer s G-function [7, Equation (9.301)], b ( ) Δ( α + β ) with ( ) 1,1 / = 1 Δ,1, + Δ x, y = y/ x,( y+ 1) / x,..., ( y + x 1)/ x, while and are positive integers properly chosen in order to satisfy / = β /. By varying α and β, the PDF of this generalized-weibull distribution can simultaneously describe several multipath and shadowing conditions. For instance for α, (4) approximates the Weibull distribution, for β = and using [7, Equation (9.34/3)], it simplifies to the K-distribution and hence approximates Rayleigh-lognormal distribution, while for β, α, (4) approaches the additive white Gaussian noise (AWGN) channel. Furthermore, by following a similar procedure as in [4], a relationship between the parameters α and β of WG distribution and the mean, μ, and standard deviation, σ, of the WL can be derived as μ = ln ( ) ( α), σ '( α) ln 10 Ω +Ψ = Ψ (5) ln 10 ( ) where Ψ() and Ψ' () are the psi function and its derivative respectively [7, Equation (8.360/1)]. Substituting (4) in the definition of the nth order moments of, ( ) n ( ) Χ μ n E, making a change of variables and using [7, Equation (7.811/4)], a closed-form expression for ( n) μ can be obtained as 3
5 μ ( n) ( 1 / β ) n/ n/ β + 3/ a+ n/ 3/ + β Γ + β + n = Γ bi. + + Ω (6) Γ i= 1 1 ( π) ( α) Furthermore, using the product theorem for the Gamma functions [7, Equation (8.335)] and after some mathematical manipulations, (6) simplifies to μ ( n) ( n ) ( n ) Γ( α ) ( ) Γ 1 + / β Γ α + / Γ 1+ / β = Ω n/. (7) x Substituting (4) in the definition of the CDF of, ( ) ( ) change of variables and using [8, Equation (6)] yields F x f x dx, making a 0 β / 1/ α ( β+ 3)/ β β Γ ( 1+ / β ) x +,1 x Γ ( 1+ / β ) 1 1/ F ( x) = G ( )( ) ( ). + / 1 α π 1, Ω Γ Ω b+, 1/ (8) The CF of is defined as Φ () s E exp( js) Χ, where j = 1. Starting from this definition, using (4) and [8, Equations (11) and (1)], Φ ( s) can be obtained as Χ β / β 1/ 1/ α+ β/ 1 Γ ( 1+ / β ) β +, Γ ( 1+ / β ) Δ(,1 β ) Φ () s = G. (3+ 3)/ ( ) ( ) ( ), js π α + b Ω Γ Ω( js) + (9) Single receiver: Let us consider a receiver operating over WG composite fading channels. The equivalent baseband received signal can be expressed as r = sh+ n, where s is the transmitted complex symbol with energy Es = E s, n is the complex AWGN with single sided power spectral density N 0 and h is the channel complex gain, i.e., = h. The instantaneous signal-to-noise ratio (SNR) per received symbol is given by γ = / N, while using (7), i.e., setting n =, the Es 0 corresponding average SNR can be obtained as γ = =Ω. E Es / N0 αes / N0 Using the last two expressions in (8), the CDF of γ can be easily obtained as 4
6 F γ ( γ ) β / 1/ α ( β+ 3)/ β/ Γ ( 1+ / β ) β γ +,1 [ αγ ( 1+ / β) γ ] 1 1/ = G. + γ / α 1, + + 1, 1/ ( α)( π b ) ( γ) + Γ (10) For the receiver under consideration, the outage probability, P out, defined as the probability that γ falls below a certain specified threshold, γ th, can be easily obtained, using (10), as P out = F γ ( γ th ). Moreover, by making a change of variables in (4) and following a similar procedure as for deriving (9), the moments generating function (MGF) of γ, defined as M () s E exp( sγ ) γ, can be obtained as β / 1/ α 1 Γ ( 1+ / β ) β / +, [ αγ ( 1+ / β) ] Δ(,1 β / ) Mγ () s = G.(11) + 3 γs / α, + ( α)( π b Γ ) ( γ s) + By using (11) and following the MGF-based approach, direct calculation of the average bit error probability (ABEP) for non-coherent binary frequency shift keying and differential binary phase shift keying (DBPSK) is possible [1]. For example, the ABEP of DBPSK is given by Pbe = 0.5 (1) [1]. M γ Numerical results: In Fig.1, the P out is plotted as a function of the normalized outage threshold, γ / γ, for several values of α and β. It is depicted that as γ / th th γ and/or α, β increase the outage performance improves. It should be noted that the curves for β = correspond to K fading channels, while it can be easily observed that the gap among the curves increases as α increases. In Fig., the ABEP of a single receiver operating over the equivalent WG and WL composite fading channels is plotted as a function of γ. The ABEP for WG fading channels is determined using (11), while for the WL numerical integration techniques have been employed. Moreover, in order to obtain equivalent channel conditions, (5) is used for selecting appropriate values for α and σ. In Fig., it is evident that the ABEP performances for these fading 5
7 channel models are very close, and this close agreement further improves as α increase. It is noted that similar ABEP performance results have been obtained for other modulation schemes, e.g., M-ary PSK. Conclusions: In this letter the most important statistical characteristics, such as PDF, CDF, CF and moments of the WG composite distribution have been derived. Using these results, the performance analysis of a receiver operating over WG fading channels was investigated in terms of the ABEP and the P out. Numerically evaluated results have confirmed that the WG distribution can be used as an alternative to the common, but much more complex, employed Rayleigh- and Weibull-lognormal distributions as a reliable ABEP predictor in multipath/shadowing fading channels. References [1] SIMON, M., and ALOUINI, M.: Digital communication over fading channels (New York, John Wiley, 000, nd edn.). [] SAGIAS, N., and KARAGIANNIDIS, G., Gaussian class multivariate Weibull distribution: Theory and applications in fading channels, IEEE Trans. Inf. Theory, 51 (10), pp , Oct [3] ISMAIL, M., and MATALGAH, M., Outage probability in multiple access systems with Weibull-faded lognormal-shadowed communication links Proc. IEEE VTC 05, Dallas, Tex, USA, Sep [4] ABDI, A., and KAVEH, M.: K distribution: An appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels, Electron. Lett., 1998, 34, (9), pp
8 [5] BITHAS, P., SAGIAS, N., MATHIOPOULOS, P., KARAGIANNIDIS G., and RONTOGIANNIS, A.: On the performance analysis of digital communications over Generalized-K fading channels, IEEE Commun. Lett., 4 (10), pp , May 006. [6] NADARAJAH, S., and KOTZ, S.: A class of generalized models for shadowed fading channels, Wireless Pers. Commun., 007, 43, (), pp [7] GRADSHTEYN, I.S., and RYZHIK, I.M.: Table of integrals, series, and products (New York, Academic, 000, 6th edn.). [8] ADAMCHIK, V., and MARICHEV, O. The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system, Proc. Intern. Conf. on Symbolic and Algebraic Computation, Tokyo, Japan, 1990, pp
9 Figure 1 1 outage probability (P out ) α = 1 α = 5 β = β = 3 β = normalized outage threshold (db) Fig. 1 Outage probability versus the normalized outage threshold for several values of α and β. 8
10 Figure average bit error probability (ABEP) β =, α = 3.5 σ =.5 β = 3, α = 4 σ =.3 β = 1.5, α = σ = 3.5 β = 4, α = 5 σ = 10-4 Weibull-Gamma Weibull-Lognormal average input SNR (db) Fig. The ABEP of WG and WL fading channels versus the average input SNR for several values of a, β and σ. 9
Performance Analysis of Wireless Single Input Multiple Output Systems (SIMO) in Correlated Weibull Fading Channels
Performance Analysis of Wireless Single Input Multiple Output Systems (SIMO) in Correlated Weibull Fading Channels Zafeiro G. Papadimitriou National and Kapodistrian University of Athens Department of
More informationComparison of DPSK and MSK bit error rates for K and Rayleigh-lognormal fading distributions
Comparison of DPSK and MSK bit error rates for K and Rayleigh-lognormal fading distributions Ali Abdi and Mostafa Kaveh ABSTRACT The composite Rayleigh-lognormal distribution is mathematically intractable
More informationOn the Multivariate Nakagami-m Distribution With Exponential Correlation
1240 IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 51, NO. 8, AUGUST 2003 On the Multivariate Nakagami-m Distribution With Exponential Correlation George K. Karagiannidis, Member, IEEE, Dimitris A. Zogas,
More informationStatistics of Correlated Generalized Gamma Variates
Statistics of Correlated Generalized Gamma Variates Petros S. Bithas 1 and Theodoros A. Tsiftsis 2 1 Department of Electrical & Computer Engineering, University of Patras, Rion, GR-26500, Patras, Greece,
More informationProducts and Ratios of Two Gaussian Class Correlated Weibull Random Variables
Products and Ratios of Two Gaussian Class Correlated Weibull Random Variables Petros S. Bithas, Nikos C. Sagias 2, Theodoros A. Tsiftsis 3, and George K. Karagiannidis 3 Electrical and Computer Engineering
More informationAn Efficient Approach to Multivariate Nakagami-m Distribution Using Green s Matrix Approximation
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL 2, NO 5, SEPTEMBER 2003 883 An Efficient Approach to Multivariate Nakagami-m Distribution Using Green s Matrix Approximation George K Karagiannidis, Member,
More informationK distribution: an appropriate substitute for Rayleigh-lognormal. distribution in fading-shadowing wireless channels
K distribution: an appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels A. Abdi and M. Kaveh Indexing terms: Rayleigh-lognormal distribution, K distribution,
More informationPerformance Analysis of Fisher-Snedecor F Composite Fading Channels
Performance Analysis of Fisher-Snedecor F Composite Fading Channels Taimour Aldalgamouni ehmet Cagri Ilter Osamah S. Badarneh Halim Yanikomeroglu Dept. of Electrical Engineering, Dept. of Systems and Computer
More informationNew Results on Turbulence Modeling for Free-Space Optical Systems
010 17th International Conference on Telecommunications New Results on Turbulence Modeling for Free-Space Optical Systems Nestor D. Chatzidiamantis, Harilaos G. Sandalidis, George K. Karagiannidis, Stavros
More informationClosed-form Distribution and Analysis of a Combined Nakagami-lognormal Shadowing and Unshadowing Fading Channel
Paper losed-form Distribution and Analysis of a ombined Nakagami-lognormal Shadowing and Unshadowing Fading hannel Rupender Singh and Meenakshi Rawat Indian Institute of Technology, Roorkee, India Abstract
More informationReliability of Radio-mobile systems considering fading and shadowing channels
Reliability of Radio-mobile systems considering fading and shadowing channels Philippe Mary ETIS UMR 8051 CNRS, ENSEA, Univ. Cergy-Pontoise, 6 avenue du Ponceau, 95014 Cergy, France Philippe Mary 1 / 32
More informationRepresentation of Composite Fading and Shadowing Distributions by using Mixtures of Gamma Distributions
Representation o Composite Fading and Shadowing Distributions by using Mitures o Gamma Distributions Saman Atapattu, Chintha Tellambura, and Hai Jiang Department o Electrical and Computer Engineering,
More informationBER OF MRC FOR M-QAM WITH IMPERFECT CHANNEL ESTIMATION OVER CORRELATED NAKAGAMI-M FADING
OF MRC FOR M-QAM WITH IMPERFECT CHANNEL ESTIMATION OVER CORRELATED NAKAGAMI-M FADING Lennert Jacobs, George C. Alexandropoulos, Marc Moeneclaey, and P. Takis Mathiopoulos Ghent University, TELIN Department,
More informationS mitigate the detrimental effects of channel fading and
SECOND ORDER STATISTICS AND CHANNE SPECTRA EFFICIENCY FOR SEECTION DIVERSITY RECEIVERS IN WEIBU FADING Nikos C. Sagias', George K. Karagiannidis2, Dimitris A. Zogas3, P. Takis Mathiopoulos2, George S.
More informationBER Performance Analysis of Cooperative DaF Relay Networks and a New Optimal DaF Strategy
144 IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. 1, NO. 4, APRIL 11 BER Performance Analysis of Cooperative DaF Relay Networks and a New Optimal DaF Strategy George A. Ropokis, Athanasios A. Rontogiannis,
More informationEE6604 Personal & Mobile Communications. Week 13. Multi-antenna Techniques
EE6604 Personal & Mobile Communications Week 13 Multi-antenna Techniques 1 Diversity Methods Diversity combats fading by providing the receiver with multiple uncorrelated replicas of the same information
More informationEffective Rate Analysis of MISO Systems over α-µ Fading Channels
Effective Rate Analysis of MISO Systems over α-µ Fading Channels Jiayi Zhang 1,2, Linglong Dai 1, Zhaocheng Wang 1 Derrick Wing Kwan Ng 2,3 and Wolfgang H. Gerstacker 2 1 Tsinghua National Laboratory for
More informationNew Results on the Fluctuating Two-Ray Model with Arbitrary Fading Parameters and Its Applications
New Results on the Fluctuating Two-Ray Model with Arbitrary Fading Parameters and Its Applications arxiv:7.934v [cs.it] 5 Oct 7 Jiayi Zhang, Member, IEEE, Wen Zeng, Xu Li, Qiang Sun, and Kostas P. Peppas,
More informationDiversity Combining Techniques
Diversity Combining Techniques When the required signal is a combination of several plane waves (multipath), the total signal amplitude may experience deep fades (Rayleigh fading), over time or space.
More informationOn the estimation of the K parameter for the Rice fading distribution
On the estimation of the K parameter for the Rice fading distribution Ali Abdi, Student Member, IEEE, Cihan Tepedelenlioglu, Student Member, IEEE, Mostafa Kaveh, Fellow, IEEE, and Georgios Giannakis, Fellow,
More informationOn the Ratio of Rice Random Variables
JIRSS 9 Vol. 8, Nos. 1-, pp 61-71 On the Ratio of Rice Random Variables N. B. Khoolenjani 1, K. Khorshidian 1, 1 Departments of Statistics, Shiraz University, Shiraz, Iran. n.b.khoolenjani@gmail.com Departments
More informationOptimal Receiver for MPSK Signaling with Imperfect Channel Estimation
This full text paper was peer reviewed at the direction of IEEE Communications Society subject matter experts for publication in the WCNC 27 proceedings. Optimal Receiver for PSK Signaling with Imperfect
More informationChernoff-Type Bounds for the Gaussian Error Function
IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 59, NO., NOVEMBER 0 939 Chernoff-Type Bounds for the Gaussian Error Function Seok-Ho Chang, Member, IEEE, Pamela C. Cosman, Fellow, IEEE, and Laurence B. Milstein,
More informationDETERMINING the information theoretic capacity of
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. 6, NO. 7, JULY 007 369 Transactions Letters Outage Capacity and Optimal Power Allocation for Multiple Time-Scale Parallel Fading Channels Subhrakanti
More informationThe κ-µ Shadowed Fading Model with Integer Fading Parameters
The κ-µ Shadowed Fading Model with Integer Fading Parameters F. Javier Lopez-Martinez, Jose F. Paris and Juan M. Romero-Jerez Abstract We show that the popular and general κ-µ shadowed fading model with
More informationThe Gamma Variate with Random Shape Parameter and Some Applications
ITSUBISHI ELECTRIC RESEARCH LABORATORIES http://www.merl.com The Gamma Variate with Random Shape Parameter and Some Applications aaref, A.: Annavajjala, R. TR211-7 December 21 Abstract This letter provides
More informationChapter 4: Continuous channel and its capacity
meghdadi@ensil.unilim.fr Reference : Elements of Information Theory by Cover and Thomas Continuous random variable Gaussian multivariate random variable AWGN Band limited channel Parallel channels Flat
More informationPerformance Analysis of BPSK over Joint Fading and Two-Path Shadowing Channels
IEEE VTC-Fall 2014, Vancouver, Sept. 14-17, 2014 IqIq Performance of BPSK over Joint Fading and Two-Path Shadowing Channels I. Dey and G. G. Messier Electrical and Computer Engineering University of Calgary,
More informationPerformance Analysis of L-Branch Scan-and-Wait Combining (SWC) over Arbitrarily Correlated Nakagami-m Fading Channels
1 Performance Analysis of L-Branch Scan-and-Wait Combining SWC) over Arbitrarily Correlated Nakagami-m Fading Channels George C. Alexandropoulos, Senior Member, IEEE, P. Takis Mathiopoulos, Senior Member,
More informationOutline - Part III: Co-Channel Interference
General Outline Part 0: Background, Motivation, and Goals. Part I: Some Basics. Part II: Diversity Systems. Part III: Co-Channel Interference. Part IV: Multi-Hop Communication Systems. Outline - Part III:
More informationAvailable online at ScienceDirect. Procedia Computer Science 40 (2014 ) 84 91
Available online at www.sciencedirect.com ScienceDirect rocedia Computer Science 40 014 ) 84 91 Outage robability of Cognitive Relay Networks over Generalized Fading Channels with nterference Constraints
More informationUpper Bounds for the Average Error Probability of a Time-Hopping Wideband System
Upper Bounds for the Average Error Probability of a Time-Hopping Wideband System Aravind Kailas UMTS Systems Performance Team QUALCOMM Inc San Diego, CA 911 Email: akailas@qualcommcom John A Gubner Department
More informationOn the Average Crossing Rates in Selection Diversity
PREPARED FOR IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS (ST REVISION) On the Average Crossing Rates in Selection Diversity Hong Zhang, Student Member, IEEE, and Ali Abdi, Member, IEEE Abstract This letter
More informationOutage Performance of Cognitive AF Relaying Networks over generalized η µ Fading Channels
Outage Performance of Cognitive AF Relaying Networks over generalized η µ Fading Channels Jing Yang, Lei Chen, Chunxiao Li Yangzhou University School of Information Engineering 88 South University Ave.,
More informationPERFORMANCE ANALYSIS OF DPSK SYSTEMS WITH MIMO EMPLOYING EGC OVER WIRELESS FADING CHANNELS
PERFORMANCE ANALYSIS OF DPSK SYSTEMS WITH MIMO EMPLOYING EGC OVER WIRELESS FADING CHANNELS by IYAD ABDELRAZZAQE AL FALUJAH A Dissertation Presented to the Faculty of the Graduate School of The University
More informationEnvelope PDF in Multipath Fading Channels with Random Number of Paths and Nonuniform Phase Distributions
Envelope PDF in Multipath Fading Channels with andom umber of Paths and onuniform Phase Distributions ALI ABDI AD MOSTAFA KAVEH DEPT. OF ELEC. AD COMP. EG., UIVESITY OF MIESOTA 4-74 EE/CSCI BLDG., UIO
More informationCooperative Spectrum Sensing for Cognitive Radios under Bandwidth Constraints
Cooperative Spectrum Sensing for Cognitive Radios under Bandwidth Constraints Chunhua Sun, Wei Zhang, and haled Ben Letaief, Fellow, IEEE Department of Electronic and Computer Engineering The Hong ong
More informationChaouki Ben Issaid, Nadhir Ben Rached, Abla Kammoun, Mohamed-Slim Alouini, and Raul Tempone. Abstract
On the Efficient Simulation of the Distribution of the Sum of Gamma-Gamma Variates with Application to the Outage Probability Evaluation Over Fading Channels Chaouki Ben Issaid, Nadhir Ben Rached, Abla
More informationFading Statistical description of the wireless channel
Channel Modelling ETIM10 Lecture no: 3 Fading Statistical description of the wireless channel Fredrik Tufvesson Department of Electrical and Information Technology Lund University, Sweden Fredrik.Tufvesson@eit.lth.se
More informationPracticable MIMO Capacity in Ideal Channels
Practicable MIMO Capacity in Ideal Channels S. Amir Mirtaheri,Rodney G. Vaughan School of Engineering Science, Simon Fraser University, British Columbia, V5A 1S6 Canada Abstract The impact of communications
More informationECE 564/645 - Digital Communications, Spring 2018 Homework #2 Due: March 19 (In Lecture)
ECE 564/645 - Digital Communications, Spring 018 Homework # Due: March 19 (In Lecture) 1. Consider a binary communication system over a 1-dimensional vector channel where message m 1 is sent by signaling
More informationVersatile, Accurate and Analytically Tractable Approximation for the Gaussian Q-function. Miguel López-Benítez and Fernando Casadevall
Versatile, Accurate and Analytically Tractable Approximation for the Gaussian Q-function Miguel López-Benítez and Fernando Casadevall Department of Signal Theory and Communications Universitat Politècnica
More informationRenewal-Theoretic Packet Collision Modeling under Long-Tailed Heterogeneous Traffic
Renewal-Theoretic Packet Collision Modeling under Long-Tailed Heterogeneous Traffic Aamir Mahmood and Mikael Gidlund Department of Information Systems and Technology Mid Sweden University, Sundsvall, Sweden
More informationTitle. Author(s)Tsai, Shang-Ho. Issue Date Doc URL. Type. Note. File Information. Equal Gain Beamforming in Rayleigh Fading Channels
Title Equal Gain Beamforming in Rayleigh Fading Channels Author(s)Tsai, Shang-Ho Proceedings : APSIPA ASC 29 : Asia-Pacific Signal Citationand Conference: 688-691 Issue Date 29-1-4 Doc URL http://hdl.handle.net/2115/39789
More informationECE6604 PERSONAL & MOBILE COMMUNICATIONS. Week 3. Flat Fading Channels Envelope Distribution Autocorrelation of a Random Process
1 ECE6604 PERSONAL & MOBILE COMMUNICATIONS Week 3 Flat Fading Channels Envelope Distribution Autocorrelation of a Random Process 2 Multipath-Fading Mechanism local scatterers mobile subscriber base station
More informationDigital Band-pass Modulation PROF. MICHAEL TSAI 2011/11/10
Digital Band-pass Modulation PROF. MICHAEL TSAI 211/11/1 Band-pass Signal Representation a t g t General form: 2πf c t + φ t g t = a t cos 2πf c t + φ t Envelope Phase Envelope is always non-negative,
More informationOn the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels
On the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels Item Type Conference Paper Authors Ben Issaid, Chaouki; Rached, Nadhir B.; Kammoun, Abla;
More informationOn the Trivariate Non-Central Chi-Squared Distribution
On the Trivariate Non-Central Chi-Squared Distribution K. D. P. Dharmawansa,R.M.A.P.Rajatheva and C. Tellambura Telecommunications Field of Study, Asian Institute of Technology P.O.Box, Klong Luang 11,
More informationEVALUATION OF ERROR PROBABILITIES FOR GENERAL SIGNAL CONSTELLATIONS
EVALUATION OF ERROR PROBABILITIES FOR GENERAL SIGNAL CONSTELLATIONS Jack W. Stokes, Microsoft Corp., One Microsoft Way, Redmond, WA 98052 jstokes@microsoft.com James A. Ritcey, Dept. of Electrical Engineering,
More informationOn the Performance of Random Vector Quantization Limited Feedback Beamforming in a MISO System
1 On the Performance of Random Vector Quantization Limited Feedback Beamforming in a MISO System Chun Kin Au-Yeung, Student Member, IEEE, and David J. Love, Member, IEEE Abstract In multiple antenna wireless
More informationLecture 4. Capacity of Fading Channels
1 Lecture 4. Capacity of Fading Channels Capacity of AWGN Channels Capacity of Fading Channels Ergodic Capacity Outage Capacity Shannon and Information Theory Claude Elwood Shannon (April 3, 1916 February
More informationOn the Performance Analysis of Dual-Hop. FSO Fixed Gain Transmission Systems (Technical Report)
On the Performance Analysis of Dual-Hop FSO Fixed Gain Transmission Systems (Technical Report Emna Zedini, Student Member, IEEE, Hamza Soury, Student Member, IEEE, and Mohamed-Slim Alouini, Fellow, IEEE
More informationGeneralized Asymptotic Measures for Wireless Fading Channels with a Logarithmic Singularity
Generalized Asymptotic Measures for Wireless Fading Channels with a Logarithmic Singularity Bitan Banerjee and Chintha Tellambura, Department of Electrical and Computer Engineering University of Alberta,
More informationOptimum Relay Position for Differential Amplify-and-Forward Cooperative Communications
Optimum Relay Position for Differential Amplify-and-Forard Cooperative Communications Kazunori Hayashi #1, Kengo Shirai #, Thanongsak Himsoon 1, W Pam Siriongpairat, Ahmed K Sadek 3,KJRayLiu 4, and Hideaki
More informationWireless Communications Lecture 10
Wireless Communications Lecture 1 [SNR per symbol and SNR per bit] SNR = P R N B = E s N BT s = E b N BT b For BPSK: T b = T s, E b = E s, and T s = 1/B. Raised cosine pulse shaper for other pulses. T
More informationCHAPTER 14. Based on the info about the scattering function we know that the multipath spread is T m =1ms, and the Doppler spread is B d =0.2 Hz.
CHAPTER 4 Problem 4. : Based on the info about the scattering function we know that the multipath spread is T m =ms, and the Doppler spread is B d =. Hz. (a) (i) T m = 3 sec (ii) B d =. Hz (iii) ( t) c
More informationLecture 7: Wireless Channels and Diversity Advanced Digital Communications (EQ2410) 1
Wireless : Wireless Advanced Digital Communications (EQ2410) 1 Thursday, Feb. 11, 2016 10:00-12:00, B24 1 Textbook: U. Madhow, Fundamentals of Digital Communications, 2008 1 / 15 Wireless Lecture 1-6 Equalization
More informationOutage probability of correlated SIR-based SSC diversity systems over composite K G fading/shadowing channels
Stefan R. Panić Mihajlo Stefanović Jelena Anastasov Bojana Nikolić Petar Spalević Dusan Stefanović Online ISSN 848-338 Print ISSN 5-44 ATKAFF 57 6 676 Outage probability of correlated SIR-based SSC diversity
More informationErgodic and Outage Capacity of Narrowband MIMO Gaussian Channels
Ergodic and Outage Capacity of Narrowband MIMO Gaussian Channels Yang Wen Liang Department of Electrical and Computer Engineering The University of British Columbia April 19th, 005 Outline of Presentation
More informationPerformance Analysis of the Dual-Hop Asymmetric Fading Channel
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL 8, NO 6, JUNE 9 783 Performance Analysis of e Dual-Hop Asymmetric Fading Channel Himal A Suraweera, Member, IEEE, George K Karagiannidis, Senior Member,
More informationThe Impact of Fading and Interference Cancelation On Node Density Outage Probability Tradeoff in Wireless Networks
The Impact of Fading and Interference Cancelation On Node Density Outage Probability Tradeoff in Wireless Networks Vladimir Mordachev Electromagnetic Compatibility Laboratory Belorussian State University
More informationComputation of Bit-Error Rate of Coherent and Non-Coherent Detection M-Ary PSK With Gray Code in BFWA Systems
Computation of Bit-Error Rate of Coherent and Non-Coherent Detection M-Ary PSK With Gray Code in BFWA Systems Department of Electrical Engineering, College of Engineering, Basrah University Basrah Iraq,
More informationComplex Gaussian Ratio Distribution with Applications for Error Rate Calculation in Fading Channels with Imperfect CSI
Complex Gaussian Ratio Distribution with Applications for Error Rate Calculation in Fading Channels with Imperfect CSI Robert J. Baxley, Brett T. Walkenhorst, Guillermo Acosta-Marum Georgia Tech Research
More informationWe are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists. International authors and editors
We are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists 3,900 6,000 0M Open access books available International authors and editors Downloads Our authors
More informationEE 5407 Part II: Spatial Based Wireless Communications
EE 5407 Part II: Spatial Based Wireless Communications Instructor: Prof. Rui Zhang E-mail: rzhang@i2r.a-star.edu.sg Website: http://www.ece.nus.edu.sg/stfpage/elezhang/ Lecture II: Receive Beamforming
More informationImpact of channel-state information on coded transmission over fading channels with diversity reception
Impact of channel-state information on coded transmission over fading channels with diversity reception Giorgio Taricco Ezio Biglieri Giuseppe Caire September 4, 1998 Abstract We study the synergy between
More informationA First Course in Digital Communications
A First Course in Digital Communications Ha H. Nguyen and E. Shwedyk February 9 A First Course in Digital Communications 1/46 Introduction There are benefits to be gained when M-ary (M = 4 signaling methods
More informationAgenda. Background. System model. Optimal Design of Adaptive Coded Modulation Schemes for Maximum Average Spectral E$ciency
Optimal Design of Adaptive Coded Modulation Schemes for Maximum Average Spectral E$ciency Henrik Holm Mohamed#Slim Alouini David Gesbert Geir E. %ien Frode B&hagen Kjell J. Hole Norwegian University of
More informationA Comparative Study of Relaying Schemes with Decode-and-Forward over Nakagami-m Fading Channels
A Comparative Study of Relaying Schemes with Decode-and-Forward over Nakagami-m Fading Channels arxiv:1104.0118v1 [cs.it] 1 Apr 2011 George C. Alexandropoulos, Agisilaos Papadogiannis and Paschalis C.
More informationNEW RESULTS ON DIFFERENTIAL AND NON COHERENT TRANSMISSION: MSDD FOR CORRELATED MIMO FADING CHANNELS AND PERFORMANCE ANALYSIS FOR GENERALIZED K FADING
NEW RESULTS ON DIFFERENTIAL AND NON COHERENT TRANSMISSION: MSDD FOR CORRELATED MIMO FADING CHANNELS AND PERFORMANCE ANALYSIS FOR GENERALIZED K FADING by CINDY YUE ZHU B.ASc., The University of British
More informationReceived Signal, Interference and Noise
Optimum Combining Maximum ratio combining (MRC) maximizes the output signal-to-noise ratio (SNR) and is the optimal combining method in a maximum likelihood sense for channels where the additive impairment
More informationCapacity of multiple-input multiple-output (MIMO) systems in wireless communications
15/11/02 Capacity of multiple-input multiple-output (MIMO) systems in wireless communications Bengt Holter Department of Telecommunications Norwegian University of Science and Technology 1 Outline 15/11/02
More informationFinite-State Markov Chain Approximation for Geometric Mean of MIMO Eigenmodes
Finite-State Markov Chain Approximation for Geometric Mean of MIMO Eigenmodes Ping-Heng Kuo Information and Communication Laboratory Industrial Technology Research Institute (ITRI) Hsinchu, Taiwan pinghengkuo@itri.org.tw
More informationError Probability Analysis of TAS/MRC-Based Scheme for Wireless Networks
Error Probability Analysis of TAS/RC-Based Scheme for Wireless Networks Jia Tang and Xi Zhang Networking and Information Systems Laboratory Department of Electrical Engineering Texas A& University, College
More informationPerformance Analysis of Multi-User Massive MIMO Systems Subject to Composite Shadowing-Fading Environment
Performance Analysis of Multi-User Massive MIMO Systems Subject to Composite Shadowing-Fading Environment By Muhammad Saad Zia NUST201260920MSEECS61212F Supervisor Dr. Syed Ali Hassan Department of Electrical
More informationIT IS well known that in mobile communications, a profound
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, VOL. 54, NO. 4, JULY 5 159 A Study on the Second Order Statistics of Nakagami-Hoyt Mobile Fading Channels Neji Youssef, Member, IEEE, Cheng-Xiang Wang, Student
More informationSingle-Gaussian Messages and Noise Thresholds for Low-Density Lattice Codes
Single-Gaussian Messages and Noise Thresholds for Low-Density Lattice Codes Brian M. Kurkoski, Kazuhiko Yamaguchi and Kingo Kobayashi kurkoski@ice.uec.ac.jp Dept. of Information and Communications Engineering
More informationSecrecy Outage Performance of Cooperative Relay Network With Diversity Combining
Secrecy Outage erformance of Cooperative Relay Network With Diversity Combining Khyati Chopra Dept. of lectrical ngineering Indian Institute of Technology, Delhi New Delhi-110016, India mail: eez148071@ee.iitd.ac.in
More informationPerformance Analysis of Multiple Antenna Systems with VQ-Based Feedback
Performance Analysis of Multiple Antenna Systems with VQ-Based Feedback June Chul Roh and Bhaskar D. Rao Department of Electrical and Computer Engineering University of California, San Diego La Jolla,
More informationDiversity Performance of a Practical Non-Coherent Detect-and-Forward Receiver
Diversity Performance of a Practical Non-Coherent Detect-and-Forward Receiver Michael R. Souryal and Huiqing You National Institute of Standards and Technology Advanced Network Technologies Division Gaithersburg,
More informationChapter 2 Signal Processing at Receivers: Detection Theory
Chapter Signal Processing at Receivers: Detection Theory As an application of the statistical hypothesis testing, signal detection plays a key role in signal processing at receivers of wireless communication
More informationError Rates for Hybrid SC/MRC Systems on Nakagami-m Channels
Error Rates for Hybrid SC/MRC Systems on Nakagami-m Channels A. Annamalail and C. Tellambura2 1. Bradley Department of Electrical and Computer Engineering, Virginia Tech, 206 N. Washington St., Suite 400
More informationResearch Article On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties
Antennas and Propagation, Article ID 3873, 8 pages http://dx.doi.org/.55/4/3873 Research Article On the Bivariate Nakagami-Lognormal Distribution and Its Correlation Properties Juan Reig, Lorenzo Rubio,
More informationA Note on the Sum of Correlated Gamma Random Variables
1 A Note on the Sum of Correlated Gamma Random Variable Joé F Pari Abtract arxiv:11030505v1 [cit] 2 Mar 2011 The um of correlated gamma random variable appear in the analyi of many wirele communication
More informationInterference Reduction In Cognitive Networks via Scheduling
1 Interference Reduction In Cognitive Networks via Scheduling Patrick Mitran, Member, IEEE Abstract In this letter, we first define a cognitive network to be useful if at least one node can be scheduled
More informationELEC546 Review of Information Theory
ELEC546 Review of Information Theory Vincent Lau 1/1/004 1 Review of Information Theory Entropy: Measure of uncertainty of a random variable X. The entropy of X, H(X), is given by: If X is a discrete random
More informationSummary: SER formulation. Binary antipodal constellation. Generic binary constellation. Constellation gain. 2D constellations
TUTORIAL ON DIGITAL MODULATIONS Part 8a: Error probability A [2011-01-07] 07] Roberto Garello, Politecnico di Torino Free download (for personal use only) at: www.tlc.polito.it/garello 1 Part 8a: Error
More informationPerformance of Multi Binary Turbo-Codes on Nakagami Flat Fading Channels
Buletinul Ştiinţific al Universităţii "Politehnica" din Timişoara Seria ELECTRONICĂ şi TELECOMUNICAŢII TRANSACTIONS on ELECTRONICS and COMMUNICATIONS Tom 5(65), Fascicola -2, 26 Performance of Multi Binary
More informationA First-Order Markov Model for Correlated Nakagami-m Fading Channels
A First-Order Markov Model for Correlated Nakagami-m Fading Channels A. Ramesh Λ, A. Chockalingam y L. B. Milstein z Λ Wireless Broadb Communications Synopsys (India)Pvt. Ltd., Bangalore 560095, INDIA
More informationOptimal Diversity Combining Based on Linear Estimation of Rician Fading Channels
This full text paper was peer reviewed at the direction of IEEE Communications Society subject matter erts for publication in the ICC 27 proceedings. Optimal Diversity Combining Based on Linear Estimation
More informationAPPENDIX 1 NEYMAN PEARSON CRITERIA
54 APPENDIX NEYMAN PEARSON CRITERIA The design approaches for detectors directly follow the theory of hypothesis testing. The primary approaches to hypothesis testing problem are the classical approach
More informationFree Space Optical (FSO) Communications. Towards the Speeds of Wireline Networks
Free Space Optical (FSO) Communications Towards the Speeds of Wireline Networks FSO Basic Principle Connects using narrow beams two optical wireless transceivers in line-of-sight. Light is transmitted
More informationOn the Throughput of Proportional Fair Scheduling with Opportunistic Beamforming for Continuous Fading States
On the hroughput of Proportional Fair Scheduling with Opportunistic Beamforming for Continuous Fading States Andreas Senst, Peter Schulz-Rittich, Gerd Ascheid, and Heinrich Meyr Institute for Integrated
More informationSome Expectations of a Non-Central Chi-Square Distribution With an Even Number of Degrees of Freedom
Some Expectations of a Non-Central Chi-Square Distribution With an Even Number of Degrees of Freedom Stefan M. Moser April 7, 007 Abstract The non-central chi-square distribution plays an important role
More informationThroughput and BER of wireless powered DF relaying in Nakagami-m fading
. RESEARCH PAPER. SCIENCE CHINA Information Sciences October 17, Vol. 6 136:1 136:13 doi: 1.17/s1143-16-611-x Throughput and BER of wireless powered DF relaying in Nakagami-m fading Yan GAO 1, Yunfei CHEN
More informationThe Distributions of Sums, Products and Ratios of Inverted Bivariate Beta Distribution 1
Applied Mathematical Sciences, Vol. 2, 28, no. 48, 2377-2391 The Distributions of Sums, Products and Ratios of Inverted Bivariate Beta Distribution 1 A. S. Al-Ruzaiza and Awad El-Gohary 2 Department of
More informationA New Framework for the Performance Analysis of Wireless Communications under Hoyt (Nakagami-q) Fading
A New Framework for the Performance Analysis of Wireless Communications under Hoyt (Nakagami-q) Fading Juan M. Romero-Jerez, Senior Member, IEEE, and F. Javier Lopez-Martinez, Member, IEEE 1 Abstract arxiv:143.537v3
More informationML Detection with Blind Linear Prediction for Differential Space-Time Block Code Systems
ML Detection with Blind Prediction for Differential SpaceTime Block Code Systems Seree Wanichpakdeedecha, Kazuhiko Fukawa, Hiroshi Suzuki, Satoshi Suyama Tokyo Institute of Technology 11, Ookayama, Meguroku,
More informationSIMULATION OF DOUBLY-SELECTIVE COMPOUND K FADING CHANNELS FOR MOBILE-TO-MOBILE COMMUNICATIONS. Yuan Liu, Jian Zhang, and Yahong Rosa Zheng
SIMULATION OF DOUBLY-SELECTIVE COMPOUND K FADING CHANNELS FOR MOBILE-TO-MOBILE COMMUNICATIONS Yuan Liu, Jian Zhang, and Yahong Rosa Zheng Department of Electrical and Computer Engineering Missouri University
More informationRecent advances in coherent optical communications in
83 J. OPT. COMMUN. NETW./VOL. 3, NO. 11/NOVEMBER 211 Aniceto Belmonte and Joseph M. Kahn Field Conjugation Adaptive Arrays in Free-Space Coherent Laser Communications Aniceto Belmonte and Joseph M. Kahn
More information